Mozibur Ullah
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Registered User
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BA Mathematics
Msc Theoretical Physics
Interested in Continental & Eastern Philosophy.
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Mar 10 |
awarded | ● Yearling |
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Feb 6 |
awarded | ● Critic |
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Feb 1 |
revised |
why are subextensions of Galois extensions also Galois? added 10 characters in body |
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Feb 1 |
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why are subextensions of Galois extensions also Galois? @Mueller: I'm beginning to suspect that Delgado is wrong in his claim, particularly the 'immediacy' of the deduction... |
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Jan 31 |
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why are subextensions of Galois extensions also Galois? added 136 characters in body |
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Jan 31 |
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why are subextensions of Galois extensions also Galois? @Brandenburg: ditto. |
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Jan 31 |
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why are subextensions of Galois extensions also Galois? @Quid: Yes, this is what I was getting at. |
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Jan 31 |
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why are subextensions of Galois extensions also Galois? @Tveiten: I have, and I still don't think its answered my question. They go via the route of characterising Galois extensions first as algebraic, separable & normal extensions - and then show the property that Delgado uses to characterise a Galois extension follows. Whereas Delgado starts of with this and deduces the characterisation. |
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Jan 31 |
revised |
why are subextensions of Galois extensions also Galois? added 167 characters in body |
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Jan 31 |
asked | why are subextensions of Galois extensions also Galois? |
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Jan 27 |
revised |
Concise model of modern fiat money and its non-conservation added 1 characters in body |
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Jan 27 |
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Concise model of modern fiat money and its non-conservation By denying that it's answerable in its own terms? When Newton wrote about his law of gravitation, he made certain he could model both time and space mathematically, the background to his physics. I'm denying that this background is available in economics. Theories don't exist in a vacuum , they exist in a larger theoretical space. |
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Jan 27 |
revised |
Concise model of modern fiat money and its non-conservation added 2 characters in body |
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Jan 27 |
answered | Concise model of modern fiat money and its non-conservation |
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Jan 25 |
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Arithmetic derivative I don't think Vitale deserved the brushoff that the moderators have given him. I certainly think the arithmatic derivative is an intriguing idea, and Vitale should have been encouraged to phrase his question in a more sensible fashion: such as has there been any interesting results shown/proved/reformulated. |
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Jan 25 |
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What is the characteristic property of surjective submersions? and your additional comment is useful too. |
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Jan 25 |
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What is the characteristic property of surjective submersions? great, going by Lees answer I see that my question wasn't quite right. But I am interested in how I phrased it. Do you think it can actually hold locally? I've accepted Lees answer as it only seems fair since I picked up the question from his book. But your answer is equally worthwhile. It doesn't seem quite correct that one should choose. |
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Jan 25 |
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What is the characteristic property of surjective submersions? I wasn't expecting the author of the text to turn up! Thanks, what you had in mind wasn't what I was expecting, but I see now I should have done, its exactly analogous to final maps in Top. |
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Jan 24 |
revised |
What is the characteristic property of surjective submersions? added 309 characters in body |
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Jan 24 |
asked | What is the characteristic property of surjective submersions? |
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Jan 22 |
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Are grothendieck universes enough for the foundations of category theory? @Shulman: I wouldn't expect a different foundation to play exactly the same role as the original, but one would expect there to be a great deal of commonality. Does this mean that ETCS is entirely standalone? So although its inspired by category theory that scaffolding can be taken away. I find this point a little confusing: why do this? Isn't there an 'elementary theory of categories' that doesn't rely on ZFC (I thought Maclane tries to do this in his book) then why not keep to the natural order of 'inspiration'? Unless of course there is no such elementary theory as it runs into difficulties |
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Jan 22 |
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Is there a category of topological-like spaces that forms a topos? I just reread this, and realised this is the kind of answer that I was looking for. |
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Dec 25 |
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What are Galois Categories used for? Galois categories inspired the Tannakian categories formalism that reconstructs an affine group scheme from its finite-dimensional representations. |
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Dec 21 |
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Grothendieck on Topological Vector Spaces @Joel:Thanks for clarifying Fukuyamas title. I thought Fukuyama was also stating if not explicitly, then implicitly that liberal democracies were the endpoint of the evolution of political forms of a state? Quite, except when the "I" is an influential person in the field, remarks such as these are more influential and drive people away. |
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Dec 13 |
answered | Essential reads in the philosophy of mathematics and set theory |
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Dec 9 |
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Are Verma modules universally characterised? @Humphreys: Thanks for the online reference. I do realise that a universal construction is only for characterisation, and automatically proves uniqueness, so long as existence is shown. I have online access, but not a useful library access, unfortunately. |
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Dec 9 |
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Are Verma modules universally characterised? @Shanmukha_Srinivasan: My silence has more to with getting a job than anything else:). It would probably have been better to have waited until my circumstances were a bit more stable. The question popped into my head sometime after I first learnt about Lie Groups/Algebras, and I ran across Verma Module on Wikipedia, and that in itself is a while ago. (I used Dragon Milicic online notes which I found very useful). I agree with Tom Leinsters comments too. |
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Dec 6 |
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Why are matrices ubiquitous but hypermatrices rare? I entirely agree with you, and I think Theo makes a very good point. I don't think I've ever seen a concrete tensor... |
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Dec 5 |
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What are the current possibilities for infinite-dimensional manifolds? @Ryan: I'd agree it isn't focused enough, but I'd dispute its unmotivated. |
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Dec 5 |
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What are the current possibilities for infinite-dimensional manifolds? @user49437: my first question was reacting against Michors assertion that Banach Manifolds aren't interesting. Obviously they're not flexible enough notion for the purposes he wants to put them to. |
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Dec 5 |
asked | What are the current possibilities for infinite-dimensional manifolds? |
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Dec 4 |
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Are Banach Manifolds intrinsically interesting? @Evans: you mean infinite-dimensional vector spaces? |
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Dec 4 |
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Are Banach Manifolds intrinsically interesting? @suarez-alvarez: got you, thanks. |
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Dec 4 |
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How do we avoid circularity when we build a structure for ZFC? @Geschke: couldn't this question be closed off as 'rough duplicate', rather than off-topic. |
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Dec 3 |
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Are Verma modules universally characterised? @Leinster: Thanks for the suggestions; I'll amend appropriately. (Had it been not so far into the small hours, I would have done so when I wrote it.) |
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Dec 3 |
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What notion captures the ‘class’ of all classes? @Qfwfq: That was what I was attempting to say too. Thanks for clarifying. |
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Dec 3 |
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What are some reasonable-sounding statements that are independent of ZFC? Wow! Is this a good argument for believing in GCH? |
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Dec 3 |
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Are Verma modules universally characterised? I'm glad someone asked, I feared it impolite to ask myself :) |
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Dec 3 |
answered | Is Mac Lane still the best place to learn category theory? |
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Dec 2 |
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Various flavours of infinitesimals Nice answer. Can the infinitesimals in the surreal numbers also be brought into this common framework? |
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Dec 2 |
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Various flavours of infinitesimals surreal numbers also have infinitesimals. |
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Dec 2 |
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Are exotic spheres still exotic in generalised smooth spaces? Agreed, the generalised smooth spaces have to prove its worth (I'm guessing that it will), but that doesn't diminish the importance of the usual smooth manifolds. I guess an analogy would be the discovery of the complex plane and the realisation of its importance (it had to prove its worth - it wasn't enough to know that it was there), but that doesn't diminish the importance of the real line. |
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Dec 2 |
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when is a sum of idempotents idempotent in commutative ring theory? @taherifar: it seems that your statement is only correct if the characteristic of the ring is zero from what Ventullo says. |
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Dec 2 |
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when is a sum of idempotents idempotent in commutative ring theory? @ventullo: great, thanks. I don't really know 'Spec' language, but it seems that this is the right angle to take from what you say. |
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Dec 2 |
revised |
Are exotic spheres still exotic in generalised smooth spaces? added 456 characters in body |
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Dec 2 |
revised |
Where should one go to learn about triangulated categories? added 308 characters in body |
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Dec 2 |
asked | Are Verma modules universally characterised? |
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Dec 2 |
asked | Can a classifying space be characterised universally? |
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Dec 2 |
asked | Are exotic spheres still exotic in generalised smooth spaces? |
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Dec 2 |
asked | Is the stochastic integral useful outside of financial mathematics? |
